Answer:
The following are the solution to the given points:
Step-by-step explanation:
for point A:
The set A is not part of the subspace 
for point B:
The set B is part of the subspace
for point C:
In this, the scalar multiplication can't behold
∉ C
this inequality is not hold
The set C is not a part of the subspace
for point D:
The scalar multiplication s is not to hold
∉ D
this is an inequality, which is not hold
The set D is not part of the subspace
For point E:
The 
is the arbitrary, in which 
is arbitrary
The set E is the part of the subspace
For point F:
The arbitrary so, they have as the arbitrary 
The set F is the subspace of
Answer:
I think it's 300
Step-by-step explanation:
The correct answer is: [C]: " c(x) = –8x²<span> + 3x – 5 " .
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The quadratic function takes the form of:
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" f(x) = ax</span>² + bx + c " .
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Answer choice: [C]: " c(x) = –8x² + 3x – 5 " ;
is the only answer choice provided that takes that form of the quadratic function:
" f(x) = ax² + bx + c " :
in which: " a = -8 " ; " b = 3 " ; " c = -5 " .
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MrBillDoesMath!
Answer to #4: 81/256 * s^8 * t^ 12
Comments:
(7x^3) ^ (1/2) = 7 ^ (1/2) * x^(3/2) where ^(1/2) means the square root of a quantity. The answer written (7x^3) is NOT correct.
---------------------
(1) (27s^7t^11)^ (4/3)
= 27^(4/3) * (s^7)^(4/3) * (t^11)^ (4/3)
As 27 = 3^3, 27 ^(4/3) = 3^4 = 81
(2) (-64st^2)^ (4/3) = (-64)^(4/3) * (s^4/3) * t(^8/3)
As 64 = (-4)^3, (-64)^(4/3) = (-4)^4 = +256
So (1)/(2) =
81 * s^(28/3)* t^(44/3)
------------------------------- =
256 s^(4/3) * t^((8/3)
81/256 * s ^ (28/3 - 4/3) * t^(44/3 - 8/3) =
81/256 * s^(24/3) * t (36/3) =
81/256 * s^8 * t^ 12
MrB
